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Question
A postage stamp kept below a rectangular glass block of refractive index 1.5 when viewed from vertically above it, appears to be raised by 7.0 mm. Calculate the thickness of the glass slab.
Solution
Refractive index of glass = 1.5
Let the thickness of slab = x mm
stamp raised by = 7 mm
∴ observed depth. = (x - 7) mm
R.I = `"Real depth"/"observed depth"`
= `3/2 = x/((x - 7))`
∴ 3x - 21 = 2x
Or x = 21 mm = 2.1 cm
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